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Physics > General Physics

Title:
Fractional Cassini Coordinates

Abstract: Introducing a set $\{\alpha_i\} \in R$ of fractional exponential powers of
focal distances an extension of symmetric Cassini-coordinates on the plane to
the asymmetric case is proposed which leads to a new set of fractional
generalized Cassini-coordinate systems. Orthogonality and classical limiting
cases are derived. An extension to cylindrically symmetric systems in $R^3$ is
investigated. The resulting asymmetric coordinate systems are well suited to
solve corresponding two- and three center problems in physics.